<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="realset2.html#V3">trivial</a> <a href="rlvect_1.html#NM2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>6</sub></font>, <font color="Maroon">c<sub>7</sub></font>, <font color="Maroon">c<sub>8</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="anproj_1.html#K6">ProjectiveSpace</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>;<br/>















<b>assume </b><a NAME="E1:85"/><i><font color="Green">E76</font></i>: 
( <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="collsp.html#R1">is_collinear</a>  &amp; <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="collsp.html#R1">is_collinear</a>  &amp; <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>7</sub></font> <a href="collsp.html#R1">is_collinear</a>  &amp; <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>7</sub></font> <a href="collsp.html#R1">is_collinear</a>  &amp; <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>6</sub></font>,<font color="Maroon">c<sub>8</sub></font> <a href="collsp.html#R1">is_collinear</a>  &amp; <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>8</sub></font> <a href="collsp.html#R1">is_collinear</a>  &amp; <font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>8</sub></font> <a href="collsp.html#R1">is_collinear</a>  )
 ;<br/>

<b>then consider </b><font color="Maroon">c<sub>9</sub></font>, <font color="Maroon">c<sub>10</sub></font>, <font color="Maroon">c<sub>11</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E3:85"/><i><font color="Green">E77</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>9</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>10</sub></font> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>11</sub></font> &amp; <font color="Maroon">c<sub>9</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>10</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>11</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>11</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  )
 <b>by </b><i><a class="ref" href="anproj_2.html#T24" target="_self">Th24</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>12</sub></font>, <font color="Maroon">c<sub>13</sub></font>, <font color="Maroon">c<sub>14</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E5:85"/><i><font color="Green">E78</font></i>: 
( <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>12</sub></font> &amp; <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>13</sub></font> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>14</sub></font> &amp; <font color="Maroon">c<sub>12</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>13</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>14</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>14</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  )
 <b>by </b><i><a class="txt" href="anproj_2.html#E1:85"><i><font color="Green">E76</font></i></a>, <a class="ref" href="anproj_2.html#T24" target="_self">Th24</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>15</sub></font>, <font color="Maroon">c<sub>16</sub></font>, <font color="Maroon">c<sub>17</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E7:85"/><i><font color="Green">E79</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>15</sub></font> &amp; <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>16</sub></font> &amp; <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>17</sub></font> &amp; <font color="Maroon">c<sub>15</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>16</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>17</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>15</sub></font>,<font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>17</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  )
 <b>by </b><i><a class="txt" href="anproj_2.html#E1:85"><i><font color="Green">E76</font></i></a>, <a class="ref" href="anproj_2.html#T24" target="_self">Th24</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>18</sub></font>, <font color="Maroon">c<sub>19</sub></font>, <font color="Maroon">c<sub>20</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E9:85"/><i><font color="Green">E80</font></i>: 
( <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>18</sub></font> &amp; <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>19</sub></font> &amp; <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>20</sub></font> &amp; <font color="Maroon">c<sub>18</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>19</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>20</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>20</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  )
 <b>by </b><i><a class="txt" href="anproj_2.html#E1:85"><i><font color="Green">E76</font></i></a>, <a class="ref" href="anproj_2.html#T24" target="_self">Th24</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>21</sub></font>, <font color="Maroon">c<sub>22</sub></font>, <font color="Maroon">c<sub>23</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E11:85"/><i><font color="Green">E81</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>21</sub></font> &amp; <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>22</sub></font> &amp; <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>23</sub></font> &amp; <font color="Maroon">c<sub>21</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>22</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>23</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>23</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  )
 <b>by </b><i><a class="txt" href="anproj_2.html#E1:85"><i><font color="Green">E76</font></i></a>, <a class="ref" href="anproj_2.html#T24" target="_self">Th24</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>24</sub></font>, <font color="Maroon">c<sub>25</sub></font>, <font color="Maroon">c<sub>26</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E13:85"/><i><font color="Green">E82</font></i>: 
( <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>24</sub></font> &amp; <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>25</sub></font> &amp; <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>26</sub></font> &amp; <font color="Maroon">c<sub>24</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>25</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>26</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>24</sub></font>,<font color="Maroon">c<sub>25</sub></font>,<font color="Maroon">c<sub>26</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  )
 <b>by </b><i><a class="txt" href="anproj_2.html#E1:85"><i><font color="Green">E76</font></i></a>, <a class="ref" href="anproj_2.html#T24" target="_self">Th24</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>27</sub></font>, <font color="Maroon">c<sub>28</sub></font>, <font color="Maroon">c<sub>29</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E15:85"/><i><font color="Green">E83</font></i>: 
( <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>27</sub></font> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>28</sub></font> &amp; <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a>  <a href="anproj_1.html#K3">Dir</a> <font color="Maroon">c<sub>29</sub></font> &amp; <font color="Maroon">c<sub>27</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>28</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>29</sub></font> <a href="anproj_1.html#NR1" target="_self">is_Prop_Vect</a>  &amp; <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>29</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  )
 <b>by </b><i><a class="txt" href="anproj_2.html#E1:85"><i><font color="Green">E76</font></i></a>, <a class="ref" href="anproj_2.html#T24" target="_self">Th24</a></i>;<br/>
<a NAME="E16:85"/>
( <font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>11</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  &amp; <font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>11</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  &amp; <font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>17</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  &amp; <font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>17</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  &amp; <font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>23</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  &amp; <font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>23</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  &amp; <font color="Maroon">c<sub>17</sub></font>,<font color="Maroon">c<sub>11</sub></font>,<font color="Maroon">c<sub>23</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  )
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="85_1"><b>proof </b></a><div class="add">

<a NAME="E1:85_1"/><i><font color="Green">E84</font></i>: 
(  <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>14</sub></font>,<font color="Maroon">c<sub>11</sub></font> &amp;  <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>16</sub></font>,<font color="Maroon">c<sub>12</sub></font> &amp;  <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>15</sub></font>,<font color="Maroon">c<sub>9</sub></font> )
 
<b>by </b><i><a class="txt" href="anproj_2.html#E3:85"><i><font color="Green">E77</font></i></a>, <a class="txt" href="anproj_2.html#E5:85"><i><font color="Green">E78</font></i></a>, <a class="txt" href="anproj_2.html#E7:85"><i><font color="Green">E79</font></i></a>, <a class="ref" href="anproj_1.html#T35">ANPROJ_1:35</a></i>;<br/>
<a NAME="E2:85_1"/><i><font color="Green">E85</font></i>: 
(  <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>19</sub></font>,<font color="Maroon">c<sub>13</sub></font> &amp;  <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>20</sub></font>,<font color="Maroon">c<sub>17</sub></font> )
 
<b>by </b><i><a class="txt" href="anproj_2.html#E5:85"><i><font color="Green">E78</font></i></a>, <a class="txt" href="anproj_2.html#E7:85"><i><font color="Green">E79</font></i></a>, <a class="txt" href="anproj_2.html#E9:85"><i><font color="Green">E80</font></i></a>, <a class="ref" href="anproj_1.html#T35">ANPROJ_1:35</a></i>;<br/>
<a NAME="E3:85_1"/><i><font color="Green">E86</font></i>: 
(  <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>21</sub></font>,<font color="Maroon">c<sub>9</sub></font> &amp;  <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>22</sub></font>,<font color="Maroon">c<sub>13</sub></font> )
 
<b>by </b><i><a class="txt" href="anproj_2.html#E3:85"><i><font color="Green">E77</font></i></a>, <a class="txt" href="anproj_2.html#E5:85"><i><font color="Green">E78</font></i></a>, <a class="txt" href="anproj_2.html#E11:85"><i><font color="Green">E81</font></i></a>, <a class="ref" href="anproj_1.html#T35">ANPROJ_1:35</a></i>;<br/>
<a NAME="E4:85_1"/><i><font color="Green">E87</font></i>: 
(  <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>24</sub></font>,<font color="Maroon">c<sub>10</sub></font> &amp;  <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>25</sub></font>,<font color="Maroon">c<sub>12</sub></font> )
 
<b>by </b><i><a class="txt" href="anproj_2.html#E3:85"><i><font color="Green">E77</font></i></a>, <a class="txt" href="anproj_2.html#E5:85"><i><font color="Green">E78</font></i></a>, <a class="txt" href="anproj_2.html#E13:85"><i><font color="Green">E82</font></i></a>, <a class="ref" href="anproj_1.html#T35">ANPROJ_1:35</a></i>;<br/>
<a NAME="E5:85_1"/><i><font color="Green">E88</font></i>: 
(  <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>26</sub></font>,<font color="Maroon">c<sub>23</sub></font> &amp;  <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>27</sub></font>,<font color="Maroon">c<sub>17</sub></font> )
 
<b>by </b><i><a class="txt" href="anproj_2.html#E7:85"><i><font color="Green">E79</font></i></a>, <a class="txt" href="anproj_2.html#E11:85"><i><font color="Green">E81</font></i></a>, <a class="txt" href="anproj_2.html#E13:85"><i><font color="Green">E82</font></i></a>, <a class="txt" href="anproj_2.html#E15:85"><i><font color="Green">E83</font></i></a>, <a class="ref" href="anproj_1.html#T35">ANPROJ_1:35</a></i>;<br/>
<a NAME="E6:85_1"/><i><font color="Green">E89</font></i>: 
(  <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>28</sub></font>,<font color="Maroon">c<sub>11</sub></font> &amp;  <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>29</sub></font>,<font color="Maroon">c<sub>23</sub></font> )
 
<b>by </b><i><a class="txt" href="anproj_2.html#E3:85"><i><font color="Green">E77</font></i></a>, <a class="txt" href="anproj_2.html#E11:85"><i><font color="Green">E81</font></i></a>, <a class="txt" href="anproj_2.html#E15:85"><i><font color="Green">E83</font></i></a>, <a class="ref" href="anproj_1.html#T35">ANPROJ_1:35</a></i>;<br/>
<a NAME="E7:85_1"/><i><font color="Green">E90</font></i>: 
 <a href="anproj_1.html#R1">are_Prop</a> <font color="Maroon">c<sub>18</sub></font>,<font color="Maroon">c<sub>10</sub></font>
 
<b>by </b><i><a class="txt" href="anproj_2.html#E3:85"><i><font color="Green">E77</font></i></a>, <a class="txt" href="anproj_2.html#E9:85"><i><font color="Green">E80</font></i></a>, <a class="ref" href="anproj_1.html#T35">ANPROJ_1:35</a></i>;<br/>
<b>thus </b><a NAME="E8:85_1"/>
<font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>11</sub></font> <a href="anproj_1.html#R2">are_LinDep</a> 
 <b>by </b><i><a class="txt" href="anproj_2.html#E3:85"><i><font color="Green">E77</font></i></a></i>;<br/>

<b>thus </b><a NAME="E9:85_1"/>
<font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>11</sub></font> <a href="anproj_1.html#R2">are_LinDep</a> 
 <b>by </b><i><a class="txt" href="anproj_2.html#E5:85"><i><font color="Green">E78</font></i></a>, <a class="txt" href="anproj_2.html#E1:85_1"><i><font color="Green">E84</font></i></a>, <a class="ref" href="anproj_1.html#T9">ANPROJ_1:9</a></i>;<br/>

<b>thus </b><a NAME="E10:85_1"/>
<font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>17</sub></font> <a href="anproj_1.html#R2">are_LinDep</a> 
 <b>by </b><i><a class="txt" href="anproj_2.html#E7:85"><i><font color="Green">E79</font></i></a>, <a class="txt" href="anproj_2.html#E1:85_1"><i><font color="Green">E84</font></i></a>, <a class="ref" href="anproj_1.html#T9">ANPROJ_1:9</a></i>;<br/>

<b>thus </b><a NAME="E11:85_1"/>
<font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>17</sub></font> <a href="anproj_1.html#R2">are_LinDep</a> 
 <b>by </b><i><a class="txt" href="anproj_2.html#E9:85"><i><font color="Green">E80</font></i></a>, <a class="txt" href="anproj_2.html#E2:85_1"><i><font color="Green">E85</font></i></a>, <a class="txt" href="anproj_2.html#E7:85_1"><i><font color="Green">E90</font></i></a>, <a class="ref" href="anproj_1.html#T9">ANPROJ_1:9</a></i>;<br/>

<b>thus </b><a NAME="E12:85_1"/>
<font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>13</sub></font>,<font color="Maroon">c<sub>23</sub></font> <a href="anproj_1.html#R2">are_LinDep</a> 
 <b>by </b><i><a class="txt" href="anproj_2.html#E11:85"><i><font color="Green">E81</font></i></a>, <a class="txt" href="anproj_2.html#E3:85_1"><i><font color="Green">E86</font></i></a>, <a class="ref" href="anproj_1.html#T9">ANPROJ_1:9</a></i>;<br/>

<b>thus </b><a NAME="E13:85_1"/>
<font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>23</sub></font> <a href="anproj_1.html#R2">are_LinDep</a> 
 <b>by </b><i><a class="txt" href="anproj_2.html#E13:85"><i><font color="Green">E82</font></i></a>, <a class="txt" href="anproj_2.html#E4:85_1"><i><font color="Green">E87</font></i></a>, <a class="txt" href="anproj_2.html#E5:85_1"><i><font color="Green">E88</font></i></a>, <a class="ref" href="anproj_1.html#T9">ANPROJ_1:9</a></i>;<br/>

<b>thus </b><a NAME="E14:85_1"/>
<font color="Maroon">c<sub>17</sub></font>,<font color="Maroon">c<sub>11</sub></font>,<font color="Maroon">c<sub>23</sub></font> <a href="anproj_1.html#R2">are_LinDep</a> 
 <b>by </b><i><a class="txt" href="anproj_2.html#E15:85"><i><font color="Green">E83</font></i></a>, <a class="txt" href="anproj_2.html#E5:85_1"><i><font color="Green">E88</font></i></a>, <a class="txt" href="anproj_2.html#E6:85_1"><i><font color="Green">E89</font></i></a>, <a class="ref" href="anproj_1.html#T9">ANPROJ_1:9</a></i>;<br/>


</div><b>end;</b></div>
<a NAME="E17:85"/><b>then </b>
( <font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>13</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  or <font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>12</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  or <font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  or <font color="Maroon">c<sub>10</sub></font>,<font color="Maroon">c<sub>12</sub></font>,<font color="Maroon">c<sub>13</sub></font> <a href="anproj_1.html#R2">are_LinDep</a>  )
 
<b>by </b><i><a class="txt" href="anproj_2.html#E3:85"><i><font color="Green">E77</font></i></a>, <a class="txt" href="anproj_2.html#E7:85"><i><font color="Green">E79</font></i></a>, <a class="txt" href="anproj_2.html#E11:85"><i><font color="Green">E81</font></i></a>, <a class="ref" href="anproj_1.html#T23">ANPROJ_1:23</a></i>;<br/>
<b>hence </b><a NAME="E18:85"/>
( <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>6</sub></font> <a href="collsp.html#R1">is_collinear</a>  or <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>5</sub></font> <a href="collsp.html#R1">is_collinear</a>  or <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font> <a href="collsp.html#R1">is_collinear</a>  or <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font> <a href="collsp.html#R1">is_collinear</a>  )
 <b>by </b><i><a class="txt" href="anproj_2.html#E3:85"><i><font color="Green">E77</font></i></a>, <a class="txt" href="anproj_2.html#E5:85"><i><font color="Green">E78</font></i></a>, <a class="ref" href="anproj_2.html#T24" target="_self">Th24</a></i>;<br/>


</div>
